56952288 has 96 divisors (see below), whose sum is σ = 171914400. Its totient is φ = 18321408.

The previous prime is 56952277. The next prime is 56952293. The reversal of 56952288 is 88225965.

56952288 is a `hidden beast` number, since 569 + 5 + 2 + 2 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23920 + ... + 26192.

It is an arithmetic number, because the mean of its divisors is an integer number (1790775).

Almost surely, 2^56952288 is an apocalyptic number.

56952288 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56952288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85957200).

56952288 is an abundant number, since it is smaller than the sum of its proper divisors (114962112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56952288 is a wasteful number, since it uses less digits than its factorization.

56952288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2321 (or 2307 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 56952288 is about 7546.6739693722. The cubic root of 56952288 is about 384.7427032195.

The spelling of 56952288 in words is "fifty-six million, nine hundred fifty-two thousand, two hundred eighty-eight".